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Simplifying -37 + 4x = -4x + 5(3x + -6) Reorder the terms: -37 + 4x = -4x + 5(-6 + 3x) -37 + 4x = -4x + (-6 * 5 + 3x * 5) -37 + 4x = -4x + (-30 + 15x) Reorder the terms: -37 + 4x = -30 + -4x + 15x Combine like terms: -4x + 15x = 11x -37 + 4x = -30 + 11x Solving -37 + 4x = -30 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -37 + 4x + -11x = -30 + 11x + -11x Combine like terms: 4x + -11x = -7x -37 + -7x = -30 + 11x + -11x Combine like terms: 11x + -11x = 0 -37 + -7x = -30 + 0 -37 + -7x = -30 Add '37' to each side of the equation. -37 + 37 + -7x = -30 + 37 Combine like terms: -37 + 37 = 0 0 + -7x = -30 + 37 -7x = -30 + 37 Combine like terms: -30 + 37 = 7 -7x = 7 Divide each side by '-7'. x = -1 Simplifying x = -1
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